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If the initial concentration of a 400 ml solution is 7% and the solution is diluted down to a concentration of 4.5%, what will the new volume of the solution be?

Sagot :

We have that the dilution equation of concentrated solutions will be equal to:

[tex]C_1V_1=C_2V_2[/tex]

where,

C1 is the initial concentration of the solution = 7%

V1 is the initial volume = 400mL

C2 is the final concentration = 4.5%

V2 is the final volume = ?

We clear Ve and replace the known data:

[tex]\begin{gathered} V_2=\frac{C_1V_1}{C_2} \\ V_2=\frac{7\%\times400mL}{4.5\%}=622mL \end{gathered}[/tex]

Answer: the new volume of the solution will be 622 mL